OKLAHOMA CITY — Oklahoma Governor Mary Fallin signed an extradition order on Wednesday to send the father of a Cherokee girl in the middle of a custody dispute to South Carolina to face a criminal charge for refusing to hand his 3-year-old daughter over to her adoptive parents.

But a lawyer for Dusten Brown said he doesn’t believe his client will be extradited because he has not committed a crime.

Brown and Matt and Melanie Capobianco, of James Island, S.C., have been fighting for years over Veronica. The Capobiancos were finalized as her adoptive parents in July, but Brown did not turn over the 3-year-old girl, who has been staying with her grandparents on Cherokee land.